Mathematical Aspects of Classical and Celestial Mechanics

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Mathematical Aspects of Classical and Celestial Mechanics is written by Vladimir I. Arnold and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3540489266 (ISBN 10) and 9783540489269 (ISBN 13).

The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.